Modular Forms and Fourier Expansion

被引：0

作者：

Horinaga, Shuji ^{[1
]}

机构：

[1] NTT Institute for Fundamental Mathematics, NTT Communication Science Laboratories

来源：

NTT Technical Review | 2024年 / 22卷 / 09期

关键词：

Fourier analysis; modular forms; representation theory;

D O I：

10.53829/ntr202409fa7

中图分类号：

学科分类号：

摘要：

Fourier analysis is an indispensable technology, but so is mathematics. In this article, we review the history of modular forms and give an overview of the relationship among representation theory, Fourier analysis, and modular forms. The explanation of difficult terms is confined to footnotes, and we focus on the relationship between the concepts. Finally, we discuss the remaining difficulties in the modern theory of modular forms, challenges, and the author’s research. © 2024 Nippon Telegraph and Telephone Corp.. All rights reserved.

引用

页码：59 / 64

页数：5

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